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Random Vibration Systems with Weakly Correlated Random Excitation
Author(s) -
Starkloff H.J.,
Von Scheidt J.,
Wunderlich R.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115100
Subject(s) - excitation , random vibration , ordinary differential equation , computation , mathematics , moment (physics) , vibration , degrees of freedom (physics and chemistry) , mathematical analysis , differential equation , statistical physics , physics , classical mechanics , quantum mechanics , algorithm
In the paper asymptotic expansions for second‐order moments of solutions to ordinary differential equations with weakly correlated random inhomogeneous terms are presented. Such equations arise e.g. in the mathematical modeling of vibration systems with an external random excitation. The given expansions allow an efficient approximative computation of moment functions of the solution process, particularly when the number of degrees of freedom is large.